6 Damage Detection Optimization Using Wavelet Multiresolution Analysis and Genetic Algorithm 47 Fig. 6.3 Beam tested in the laboratory: (a) Damage locations of tested beams; (b) data acquisition system 3 30 66 0 2 4 6 8 10 1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 Depth of damages (mm) RWPE Locations Fig. 6.4 Histograms of RWPE 6.6 Conclusions An intelligent damage identification algorithm to detect damage in beam-like structures using vibration signal was developed and implemented. To verify the efficiency and practicability of the method proposed in the current research, both numerical simulation and experimental tests were carried out. The damage indicator was obtained from an optimized wavelet packet transform which was combined with the information entropy to gain the advantages of both techniques. Also, all the results show that the optimal damage indicator can be successfully used to identify the damage locations as well as damage severity from the response data of the damaged beam using an effective comparative approach. Acknowledgement The authors would like to express their sincere thanks to the Ministry of Education, Malaysia for the support given through research grants PG222-2014B and FP027/2012A. References 1. Fan, W., Qiao, P.: Vibration-based damage identification methods: a review and comparative study. Struct. Health Monit. 10(1), 83–111 (2011) 2. Farrar, C.R., Doebling, S.W., Nix, D.A.: Vibration–based structural damage identification. Philos. Trans. R. Soc. Lond. Ser. A: Math. Phys. Eng. Sci. 359(1778), 131–149 (2001) 3. Ratcliffe, C.P.: Damage detection using a modified Laplacian operator on mode shape data. J. Sound Vib. 204(3), 505–517 (1997) 4. Yoon, M., Heider, D., Gillespie Jr., J., Ratcliffe, C., Crane, R.: Local damage detection using the two-dimensional gapped smoothing method. J. Sound Vib. 279(1), 119–139 (2005) 5. Ovanesova, A., Suarez, L.: Applications of wavelet transforms to damage detection in frame structures. Eng. Struct. 26(1), 39–49 (2004) 6. Kim, H., Melhem, H.: Damage detection of structures by wavelet analysis. Eng. Struct. 26(3), 347–362 (2004)
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